dh a =E9crit :
> Hi Mathieu,
>
> Note that the Gaussian and Hole covolution is symmetrical and can
>
> therefore done as a much simplier 1 dim problem. However, if you need
>
> 2dim, I would advice, due to computing time, to approximate the 2D
>
> convolution by a numerical approximation. Here is a small example:
>
> Hole[x_,y_]:=If[0.2<x^2+y^2,0,1];
>
> Gaussian[x_,y_]:=Exp[-10(x^2+y^2)];
>
> fun[x_/;NumericQ[x],y_]:=
>
> NIntegrate[Gaussian[x-xx,y-yy] Hole[xx,yy],{xx,-2.,2.},{yy,-2.,2.}] =
;
>
> fun1=FunctionInterpolation[ fun[x,y] ,{x,-1.,1.},{y,-1.,1.}]
>
> hope this helps, Daniel
Thank you for your reply!
Your comments are useful in my discoering of Mathematica.
I am not too sure why there is no NumericQ checking on y in the <fun>
function you propose? Can you tell me why please?